Exact, modulated, debris induced, space plasma solitary and rogue wave solutions propagating with acceleration

Abstract In this work, we investigated the modulated, nonlinear, ion-acoustic wave (IAW) propagating in an unmagnetized, collisionless, homogeneous plasma where a charged density source of varying velocity due to the debris particles is present. The space-time dynamics of the one dimensional nonlinear ion-acoustic wave is modelled by a forced Nonlinear Schrodinger equation (fNLSE) where the forcing function is generated because of the space debris objects. We obtained : the exact 1 solitary wave, 2 solitary wave followed by N solitary wave solutions and the 1st order rogue wave, the 2nd order rogue wave and then the N th order rogue wave solutions of the fNLSE for some specific forms of pinned debris functions. The combined system of the nonlinear ion-acoustic wave and the debris function propagates with acceleration. These debris induced, accelerated, exact, modulated nonlinear wave solutions are new in this field of plasma physics as per our study. The condition of modulation instability of such forced system is also discussed with plot. Such exact, nonlinear wave solutions with acceleration may be useful in modelling the experimental data of real astrophysical plasma system.